Probability Model

Probability Model

7th Grade

14 Qs

quiz-placeholder

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Probability Model

Probability Model

Assessment

Quiz

Mathematics

7th Grade

Hard

Created by

Anthony Clark

Used 1+ times

FREE Resource

14 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Choose an American household at random. What is the expected number of cars for that household?

1.75

1.84

2.00

2.50

2.

MULTIPLE CHOICE QUESTION

1 min • 12 pts

In a certain community, 30% of households have 1 child, 43% have 2 children, and 27% have 3 children. If a household is selected at random, what is the expected number of children in that household? HINT: A Probability table may be helpful.

2.00

2.13

1.97

1.27

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

A car dealer buys hybrids for $21,000 each and sells them for $24,500 each. Find his expected weekly profit. Hint: Find E(X), then find the profit on each car sold.

$2,380

$5,355

$8,109

$37,485

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A coin is flipped 3 times. If you get tails once you get $5, tails twice you get $15, and tails on all three flips you get $40. What is the expected amount of money you will get? Hint: draw a tree diagram to determine the probability of each outcome, you should have 3 events, then set up the probability model.

$12.50

$5

$7.50

$10

5.

MULTIPLE SELECT QUESTION

1 min • 1 pt

A bag contains colored beads. Ryan selects a bead at random, records the color, and returns the bead to the bag. -After 15 trials, the experimental probability of selecting a red bead is 1/3, a white bead is 2/5, and a blue bead is 4/15. -On the 16th trial, Ryan selects a yellow bead. -On the 17th trial, Ryan selects a blue bead. Determine the true statments.

There cannot be an orange bead in the bag.

There must be exactly 1 yellow bead in the bag.

After 15 trials, Ryan has selected exactly 6 white beads.

After 16 trials, the experimental probability of selecting a blue bead is 1/4.

After 17 trials, the experimental probability of selecting a red bead is 5/17.

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Sienna has a bag of tiles containing the letters A, B, C, D, and E. She selects a tile at random, records the letter, and then puts the letter back in the bag. Then she repeats the process. The table shows the results of her experiment. If she did the trial 1,000 times, how many times would she expect to pull the letter D?

7

18

175

125

7.

MULTIPLE SELECT QUESTION

1 min • 1 pt

Tio has a bag of colored balloons. He selected a balloon at random, records the color, and replaces the balloon in the bag. -After 40 trials, the experimental probability of selecting a red balloon is 1/4, a yellow balloon is 9/20, and a green balloon is 3/10.-On the 41st trial, he selects a red balloon.-On the 42nd trial, he selects a white balloon. Determine the true statements based on the given data.

There cannot be a purple balloon in the bag.

There are at least 9 yellow balloons in the bag.

After 40 trials, Tio has selected 12 green balloon.

After 41 trials, the probability of selecting a red balloon is 11/41.

After 42 trials, the probability of selecting a yellow balloon is 9/20.

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